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Finding the Fourth Proportional to 483.70, 726.23 and 252.78

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Solution

The fourth proportional to 483.70, 726.23 and 252.78 is: 379.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.70 : 726.23 = 252.78 : x
  2. Step 2: Convert to fraction form
    483.70/726.23 = 252.78/x
  3. Step 3: Cross multiply
    483.70x = 726.23 × 252.78
  4. Step 4: Simplify right side
    483.70x = 183,576.42
  5. Step 5: Solve for x
    x = 183,576.42/483.70
  6. Step 6: Final answer
    x = 379.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.